11118525180048 has 960 divisors, whose sum is σ = 40806988185600. Its totient is φ = 2768783523840.

The previous prime is 11118525180047. The next prime is 11118525180053. The reversal of 11118525180048 is 84008152581111.

11118525180048 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 8 + 525 + 1 + 80 + 0 + 48 = 666.

11118525180048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11118525180048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11118525179985 and 11118525180012.

It is not an unprimeable number, because it can be changed into a prime (11118525180047) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8506904611 + ... + 8506905917.

It is an arithmetic number, because the mean of its divisors is an integer number (42507279360).

Almost surely, 2^{11118525180048} is an apocalyptic number.

11118525180048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11118525180048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20403494092800).

11118525180048 is an abundant number, since it is smaller than the sum of its proper divisors (29688463005552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11118525180048 is a wasteful number, since it uses less digits than its factorization.

11118525180048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 45.

The spelling of 11118525180048 in words is "eleven trillion, one hundred eighteen billion, five hundred twenty-five million, one hundred eighty thousand, forty-eight".